Search a number
-
+
381486816 = 25321324607
BaseRepresentation
bin10110101111010…
…000011011100000
3222120211112112100
4112233100123200
51240130034231
6101504330400
712311404314
oct2657203340
9876745470
10381486816
11186380767
12a7913a00
136105bb59
1438945b44
15237581e6
hex16bd06e0

381486816 has 36 divisors (see below), whose sum is σ = 1084853952. Its totient is φ = 127162176.

The previous prime is 381486799. The next prime is 381486821. The reversal of 381486816 is 618684183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 662016 + ... + 662591.

It is an arithmetic number, because the mean of its divisors is an integer number (30134832).

Almost surely, 2381486816 is an apocalyptic number.

381486816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381486816 is an abundant number, since it is smaller than the sum of its proper divisors (703367136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381486816 is a wasteful number, since it uses less digits than its factorization.

381486816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324623 (or 1324612 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 381486816 is about 19531.6874847003. The cubic root of 381486816 is about 725.2590852068.

The spelling of 381486816 in words is "three hundred eighty-one million, four hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1324607 2649214 3973821 5298428 7947642 10596856 11921463 15895284 21193712 23842926 31790568 42387424 47685852 63581136 95371704 127162272 190743408 381486816